Uniform convexity and smoothness, and their applications in Finsler geometry
From MaRDI portal
Publication:1000597
DOI10.1007/s00208-008-0286-4zbMath1160.53033OpenAlexW2024392085MaRDI QIDQ1000597
Publication date: 9 February 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-008-0286-4
Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Related Items (23)
Convergence theorems for generalized hemicontractive mapping in p-uniformly convex metric space ⋮ Optimal transport from Lebesgue to Poisson ⋮ A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities ⋮ On an anisotropic \(p\)-Laplace equation with variable singular exponent ⋮ Some functional inequalities on non-reversible Finsler manifolds ⋮ Nonlinear geometric analysis on Finsler manifolds ⋮ RIGIDITY OF A FINSLER METRIC WITH BUSEMANN CONCAVITY ⋮ Local gradient estimate for harmonic functions on Finsler manifolds ⋮ Sectional curvature-type conditions on metric spaces ⋮ On the curvature and heat flow on Hamiltonian systems ⋮ On the steinness of strongly convex Kähler Finsler manifolds ⋮ On interpolation and curvature via Wasserstein geodesics ⋮ Medians and means in Finsler geometry ⋮ An existence result for singular Finsler double phase problems ⋮ Sharp spectral gap for the Finsler \(p\)-Laplacian ⋮ Non-contraction of heat flow on Minkowski spaces ⋮ Total curvatures of model surfaces control topology of complete open manifolds with radial curvature bounded below. II ⋮ Symmetric orthogonality and non-expansive projections in metric spaces ⋮ On the existence of convex functions on Finsler manifolds ⋮ Singular Poisson equations on Finsler-Hadamard manifolds ⋮ Heat flow on Finsler manifolds ⋮ Finsler interpolation inequalities ⋮ Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparison theorems in Finsler geometry and their applications
- Weak curvature conditions and functional inequalities
- Stability of a 4th-order curvature condition arising in optimal transport theory
- Extending Lipschitz and Hölder maps between metric spaces
- Integrals of subharmonic functions on manifolds of nonnegative curvature
- Sharp uniform convexity and smoothness inequalities for trace norms
- Volume comparison and its applications in Riemann-Finsler geometry
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
- Regularity of harmonic functions in Cheeger-type Sobolev spaces
- Ricci curvature for metric-measure spaces via optimal transport
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Convexities of metric spaces
- Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds
- Spaces with non-positive curvature
- Differentiation in metric spaces
- Gradient flows on Wasserstein spaces over compact Alexandrov spaces
- Polar factorization and monotone rearrangement of vector‐valued functions
- Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten.
- Polar factorization of maps on Riemannian manifolds
This page was built for publication: Uniform convexity and smoothness, and their applications in Finsler geometry
